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Simplifying 10x + 9y = 6x + 6y Solving 10x + 9y = 6x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10x + -6x + 9y = 6x + -6x + 6y Combine like terms: 10x + -6x = 4x 4x + 9y = 6x + -6x + 6y Combine like terms: 6x + -6x = 0 4x + 9y = 0 + 6y 4x + 9y = 6y Add '-9y' to each side of the equation. 4x + 9y + -9y = 6y + -9y Combine like terms: 9y + -9y = 0 4x + 0 = 6y + -9y 4x = 6y + -9y Combine like terms: 6y + -9y = -3y 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75y
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